All categories

3 years ago

X^2-24x+144=0 solve for x please

Mathematics

2 answers:

juin [17]3 years ago

8 0

Answer:

x=-12

Step-by-step explanation:

x^2-24x+144=0

When you see it as =0, that doesn't mean it's 0. it means it needs more deep solving.

x^2+24x+144-144=0-144

x^2+24x=-144

x^2+24x+12^2=-144+12^2

x^2+24x+12^2=0

(x+12)^2=0

x+12=0

x=-12

e-lub [12.9K]3 years ago

5 0

Answer:

x = 12

Step-by-step explanation:

Step 1: Write quadratic

x² - 24x + 144 = 0

Step 2: Factor

(x - 12)(x - 12) = 0

Step 3: Find roots

x - 12 = 0

x = 12

You might be interested in

Bob makes three different silverware - spoons, forks and knives. Each unit (dozen) of spoon gives him a profit of $9, forks of $

Gala2k [10]

Answer:

Solution is:

z (max) = 687.5

x₁ = 0

x₂ = 16

x₃ = 21

Step-by-step explanation:

From the problem statement we have:

Resources: machine time ( 183 h) labor (250 h) steel 185 (pounds)

Unit

Spoons 4 4 3

forks 4 9 2

knives5 5 5 4

Profit $ 9 20 17.5

Objective function z = 9*x₁ + 20*x₂ + 17.5 *x₃ to maximize

Subject to:

Availability of machine time : 183 h

4*x₁ + 4*x₂ + 5*x₃ ≤ 183

Availability of labor : 250 h

4*x₁ + 9*x₂ + 5*x₃ ≤ 250

Availability of steel : 185 pounds

3*x₁ + 2*x₂ + 4*x₃ ≤ 185

Requirement:

x₂ ≥ 16

General constraints:

x₁ ≥ 0 x₃ ≥ 0 all integers

After 6 iteration the solution using AtomZmath on-line solver

z (max) = 687.5

x₁ = 0

x₂ = 16

x₃ = 21

Resources used:

Machine time: 16* 4 + 21*5 = 64 + 105 = 169

remains 183 - 169 = 14 h

Labor: 16*9 + 21* 5 = 144 + 105 = 249

remains 250 - 249 = 1 h

Steel : 16*2 + 21*4 = 32 + 84 = 116

remains 185 - 116 = 69 pounds.

If it is decided that 20 units of forks are to be made then

we will need 4*4 = 16 h of machine time

9*4 = 36 h of labor

2*4 = 8 pounds of steel

We can get that from abandom to make one unit of x₃ ??

No because as we said we need 36 hours of labor ( we still have 1 we need 35 more hours ) if we make 20 x₃ insted of 21 we get only 5 hours.

z we got is maximum

5 0

3 years ago

A scientist measured the mass of a rock sample as 0.173 grams. On one report, she rounded the mass to the nearest tenth of a gra

Sever21 [200]

.o7 should be it hope I helped

3 0

3 years ago

F(x) = x² + 10 <br>What is the average rate of change of f over the interval [ -2,-1?

KIM [24]

Answer:

-3

Step-by-step explanation:

f(-2) = (-2)^2 + 10 = 14 -> (-2, 14)

f(-1) = (-1)^2 + 10 = 11 -> (-1, 11)

(11-14)/(-1-(-2)) = -3/1 = -3

8 0

3 years ago

Find the real numbers x and y that make the equation true.<br><br> -3 + yi = x + 6i

irga5000 [103]

X = -3 - 6i + yi
y = -3i - xi + 6

8 0

3 years ago

Please help me I need to turn this in tommorow pls e plain or tell me the answer please I will give my points

Dvinal [7]

Hello from MrBillDoesMath!

Answer:s:

For #18, see attachment, "Scatterplot_18", where the data is plotted. It looks like choice J -- no association-- is the correct answer.

For #14 it looks like you had some confusion but are on the right track. The formula for compound interest is Amount = P(1+r)^n, where P if the Principal (initial investment), r is the yearly rate, and "n" is the number of years invested. In your case,

A = 1000 ( 1 + .02)^3 => as 2% = 2/100 = .02; n = 3 as money

invested for three years

A = 1000 (1.061208) =

$1061.21

This is the same answer you got but is NOT one of the choices. Hmmm.....

Thank you,

MrB

6 0

3 years ago